Modules with finite Cousin cohomologies have uniform local cohomological annihilators

被引：4

作者：

Dibaei, Mohammad T. ^{[1
,2
]}

Jafari, Raheleh ^{[1
]}

机构：

[1] Tarbiat Moallem Univ, Fac Math Sci, Tehran, Iran

[2] Inst Theoret Phys & Math, Tehran, Iran

来源：

JOURNAL OF ALGEBRA | 2008年 / 319卷 / 08期

关键词：

Cousin complexes; local cohomology;

D O I：

10.1016/j.jalgebra.2007.11.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a Noetherian ring. It is shown that any finite A-module M of finite Krull dimension with finite Cousin complex cohomologies has a uniform local cohomological annihilator. The converse is also true for a finite module M satisfying (S-2) which is over a local ring with Cohen-Macaulay formal fibers. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：3291 / 3300

页数：10

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